What is the answer to (-2)/x = 7/(x-9)-1 ?

The answer to (-2)/x = 7/(x-9)-1 is x=3(3-sqrt(7)),x=3(3+sqrt(7))

Solve for x: (-2)/x = 7/(x-9)-1

The solution is x=3(3-sqrt(7)),x=3(3+sqrt(7))

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\frac{- 2}{x} = \frac{7}{x - 9} - 1

x = 3 (3 - 7), x = 3 (3 + 7)

Decimal Notation

x = 1.06274 \dots, x = 16.93725 \dots

Solution steps

\frac{- 2}{x} = \frac{7}{x - 9} - 1

Multiply by LCM

- 2 (x - 9) = 7 x - x (x - 9)

Solve

- 2 (x - 9) = 7 x - x (x - 9) : x = 3 (3 - 7), x = 3 (3 + 7)

x = 3 (3 - 7), x = 3 (3 + 7)

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 9

Combine undefined points with solutions:

x = 3 (3 - 7), x = 3 (3 + 7)

\frac{4}{r} = \frac{r}{9}

1 0^{5} = \frac{10}{b ^{3}}

\frac{42}{x} = 7

\frac{4}{x + 2} = \frac{9}{3 x}

1 = \frac{2}{r ^{2}} - \frac{1}{r}

What is the answer to (-2)/x = 7/(x-9)-1 ?
The answer to (-2)/x = 7/(x-9)-1 is x=3(3-sqrt(7)),x=3(3+sqrt(7))
Solve for x: (-2)/x = 7/(x-9)-1
The solution is x=3(3-sqrt(7)),x=3(3+sqrt(7))